Finding the Fourth Proportional to 1,383.14, 1,908.43 and 785.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,383.14 : 1,908.43 = 785.57 : x
2. Step 2: Convert to fraction form
   1,383.14/1,908.43 = 785.57/x
3. Step 3: Cross multiply
   1,383.14x = 1,908.43 × 785.57
4. Step 4: Simplify right side
   1,383.14x = 1,499,193.85
5. Step 5: Solve for x
   x = 1,499,193.85/1,383.14
6. Step 6: Final answer
   x = 1,083.90